Members of California’s largest public employee union have voted 92 percent in favor of a strike vote as its members seek new labor contracts with the state, the union announced Tuesday.

The Service Employees International Union Local 1000 represents about 95,000 state employees, many of whom are office and administrative workers, librarians, engineers and nurses.

Both sides have been bargaining since April, and they were scheduled to resume Tuesday, the union said.

The state has offered the union a nearly 12 percent salary increase over four years, but SEIU officials say the 3 percent annual raises would be offset by a 3.5 percent employee contribution to retirees’ health care. …